3. Find the best values of a, and a, if the line y=a₁x+a is fitted to the d (0,1),(2,5), (5,12), (7,20).

Q: 18. Find the points of intersection of the lines 4₁: R= 2i + 3j + 3k + t(i-2j + 5k) y +1 2 12: x + 3…

A: These two line not intersect

Q: x+2 y+1 z-3 and 7 = [4,-2,1]+t[-2c,2,c] Determine the value of c that makes the lines 5…

A: The direction ratio of is:  (4, 5, 3)   The direction ratio of is:  (-2c, 2, c)

Q: Determine whether the following pairs of lines intersect, are parallel or are skewed. If they…

A:

Q: 3. The estimated equation for the response (in coded variables) is ŷ Which of the following points…

A: Option (b) is the correct option. Let us see how.

Q: Consider T(r1,12, Ia) = (371 – 212 + 4ra, I1 + 273, 12). Find T!. %3D

A:

Q: Find the line that passes through the point (0, 1) and through the point of intersection of the two…

A:

Q: 1.4 Which of the following equations are linear? (iii) x = -7y + 3z (i) x + 5xy – 2z = 1 1 (v) VTx +…

A:

Q: (2, 3. * (0, 1) (-2, 0) 2 -3 1 3 (a) Sketch the line that appears to be the best fit for the given…

A:

Q: Find the value of p if the  straght lines x+p=0 y+2=0 3x+2y+5=0 are concurrent

A:

Q: a. Let C = C, U C2 where C, is the line segment from (2,0,0) to (3,4,5) and C2 is the line segment…

A: c1: Line segment from (2,0,0) to (3,4,5)The equation is…

Q: - For what value of k will the line kx + 5y = 2k be perpendicular to the line 2x - 3-y = 1?

A:

Q: 20. Evaluate J Vx + 2y ds, where C is a. the straight-line segment x = t, y = 4t, from (0, 0) to (1,…

A:

Q: - For what value of k will the line kr + 5y = 2k be perpendicular to the line 2x - 3y = 1?

A:

Q: 3. Evaluate f 2xdx + (y + 2)dy along the rectangle with vertices (0, 0), (0,3), (3,3) and (0, 3).

A:

Q: 9. Determine the intersection (if any) of the following lines: F = (-8,-5,1) + t(1,4,-1) and F =…

A:

Q: -2 B-BL and u= 6 -1 Compute the distance d from y to the line through u and the origin. Let y d= = =…

A: y and u are two points.d is the distance between the point y and the line passing through the point…

Q: Which one of the following points lies on the line x = -(t + 6), y = (- (6 t)) – 4, z = 2 t – 4? о…

A:

Q: Q2. Find the equation of the line that passes through the point (-3,2,-1) and parallel to the line…

A: Given point is (-3,2,-1). And the planes are,

Q: 3. Which of the following points would not lie on the line y=7? (1) (-2,7) (3) (0, 7) (2) (7,-1) (4)…

A:

Q: Z. esT 3. For all real numbers m, the equation y = mx + 3 %3D répresents which of the following in…

A:

Q: 1. Determine the intersection (if any) of the lines I1: (x, y, z) = (2,0, 9) + s(1, 2, 3), s e R,…

A:

Q: Consider the following equations Y₁ = 3x + 4 2y2 = 2x+8 -Y3= x-4 -3y4 = 9x - 12 What do the lines…

A: Given equations of lines are y1=3x+4             (1) 2y2=2x+8          (2) -y3=x-4            (3)…

Q: a) Find the coordinates of these points. P( R 44 R( 3 b) Plot and label these points. A (3, 4) в (5,…

A: Explanation and Solution is given below...

Q: 1) Draw the graph for the function Y = x3 and then find (Df) & (Rf). 2) Draw the graph for the…

A: “Since you have asked multiple question, we will solve the first question for you. If youwant any…

Q: 5. Find the point of intersection of the following lines x = 4t +2, y = 3, z = -t +2 b. x = 2s +6, y…

A: Given query is to find the point of intersection of line a and line b.

Q: 7. The line through the points and (2, 1, –3) Answer + 1 x = 2 + 2t, y =1+ t, z = -3 - 4t; (x – 2)/2…

A: The given point is: 0,12,1, and 2,1,-3 To find the equation of the line.